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Finding the Third Proportional to 27,270 and 39,828.38

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Solution

The third proportional to 27,270 and 39,828.38 is: 58,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 39,828.38 = 39,828.38 : x
  2. Step 2: Convert to fraction form
    27,270/39,828.38 = 39,828.38/x
  3. Step 3: Cross multiply
    27,270x = 39,828.38 × 39,828.38
  4. Step 4: Simplify right side
    27,270x = 1,586,299,455.14
  5. Step 5: Solve for x
    x = 1,586,299,455.14/27,270
  6. Step 6: Final answer
    x = 58,170.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.